Surface area of a Pyramid 7 yards by 40 foot by 7 meters Calculator
The Surface Area of Pyramid 7 yards by width 40 foot by height 7 meters is 267.9755519 yards2 or 231.2935767 meters2 or 2489.6233776 foot2
The surface area of a pyramid is equal to the sum of the areas of each side of the pyramid. The base of the pyramid has area l x w , and sl and sw represent the slant height on the length and slant height on the width. If the Pyramid has a length 7 yards by width 40 foot by height 7 meters is 267.9755519 yards2 or 231.2935767 meters2 or 2489.6233776 foot2
Surface Area of a Pyramid 7 yd by 40 ft by 7 m in other units
| Value | unit |
|---|---|
| 0.2450368 | km2 |
| 0.1522592 | mi2 |
| 245.0368447 | m2 |
| 803.9266557 | ft2 |
| 9647.1198684 | in2 |
| 267.9755519 | yd2 |
| 24503.6844657 | cm2 |
| 245036.8446574 | mm2 |
Steps:
The Surface area of Pyramid A = $lw+l$$\sqrt{(\frac{w}{2})^2+(h)^2}$$+w$$\sqrt{(\frac{l}{2})^2+(h)^2}$
Substitute the values of the length l = 7 yd, the width w = 40 ft and the height h = 7 m into the formula for surface area of a pyramid
Unit Conversion of 7 m = 7.6552973 yd
7 Meter is 7.6552973 yards
To convert Meter to Yards
we know that, 1 Meter = 1.0936139 Yards
To convert Meter to Yards, multiply the mile value by 1.0936139
Result in Yards: 7 m × 1.0936139 × yd/m
Cancel The Comman factor of m
Result in Yards: (7 x 1.0936139 yd)
Multiply 7 into 1.0936139
Result in Yards: 7.6552973 yards
∴ 7 Meter = 7.6552973 yards
Unit Conversion of 40 ft = 13.3333333 yd
40 Feet is 13.3333333 yards
To convert Feet to Yards
we know that, 1 Foot = 0.333333 or
1 Foot = 1/3 Yards
To convert Feet to Yards, divide the feet value by 3
Result in Yards: 40 × ft/yd × ft/yd
Cancel The Comman factor of ft
Result in Yards: 40/3 yd
Divide the 40 by 3
Result in Yards: 13.3333333 yards
∴ 40 Feet = 13.3333333 yards
A=($7 \cdot13.3333333+7$$\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$$+13.3333333$$\sqrt{(\frac{7}{2})^2+(7.6552973)^2}$) yd
Simplify each term.
Multiply 7 yd by 13.3333333 yd
A = $93.3333331+7$$\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$$+13.3333333$$\sqrt{(\frac{7}{2})^2+(7.6552973)^2}$
Square root of $\sqrt{(\frac{13.3333333}{2})^2+(7.6552973)^2}$ is 10.1512571
Put The values in Area Formula:
A= $93.3333331+ 7 \cdot 10.1512571+13.3333333$$\sqrt{(\frac{7}{2})^2+(7.6552973)^2}$
Square Root of $\sqrt{(\frac{7}{2})^2+(7.6552973)^2}$ is 7.7687564
Put The values in Area Formula:
A= 93.3333331 + (7 x 10.1512571) + (13.3333333 x 7.7687564)
Multiply 7 and 10.1512571
A= 93.3333331 + 71.0587998 + (13.3333333 x 7.7687564)
Multiply 13.3333333 and 7.7687564
A= 93.3333331 + 71.0587998 + 103.5834191
Add 93.3333331 and 71.0587998
A= 164.3921329 + 103.5834191
A= 267.9755519 yd2
∴ The Surface Area of Pyramid length 7 yd , width 40 ft and height 7 m is 267.9755519 yd2
or
Unit Conversion of 40 ft = 12.192 m
40 Foot is 12.192 meters
To convert Feet to Meter
we know that, 1 Foot = 0.3048 Meter
To convert Foot to meters, multiply the feet value by 0.3048.
Result in Meter: 40 ft × 0.3048 × m/ft
Cancel The Comman factor of ft
Result in Meters: (40 x 0.3048 m)
Multiply 40 into 0.3048
Result in Meters: 12.192 meters
∴ 40 Foot = 12.192 meters
Unit Conversion of 7 yd = 6.4008 m
7 Yard is 6.4008 meters
To convert Yard to Meter
we know that, 1 Yard = 0.9144 Meter
To convert Yards to meters, multiply the yard value by 0.9144.
Result in Meter: 7 yd × 0.9144 × m/yd
Cancel The Comman factor of yd
Result in Meters: (7 x 0.9144 m)
Multiply 7 into 0.9144
Result in Meters: 6.4008 meters
∴ 7 Yard = 6.4008 meters
A=($6.4008 \cdot12.192+6.4008$$\sqrt{(\frac{12.192}{2})^2+(7)^2}$$+12.192$$\sqrt{(\frac{6.4008}{2})^2+(7)^2}$) m
Simplify each term.
Multiply 6.4008 m by 12.192 m
A = $78.0385536+6.4008$$\sqrt{(\frac{12.192}{2})^2+(7)^2}$$+12.192$$\sqrt{(\frac{6.4008}{2})^2+(7)^2}$
Square root of $\sqrt{(\frac{12.192}{2})^2+(7)^2}$ is 9.2823066
Put The values in Area Formula:
A= $78.0385536+ 6.4008 \cdot 9.2823066+12.192$$\sqrt{(\frac{6.4008}{2})^2+(7)^2}$
Square Root of $\sqrt{(\frac{6.4008}{2})^2+(7)^2}$ is 7.6969189
Put The values in Area Formula:
A= 78.0385536 + (6.4008 x 9.2823066) + (12.192 x 7.6969189)
Multiply 6.4008 and 9.2823066
A= 78.0385536 + 59.4141881 + (12.192 x 7.6969189)
Multiply 12.192 and 7.6969189
A= 78.0385536 + 59.4141881 + 93.8408349
Add 78.0385536 and 59.4141881
A= 137.4527417 + 93.8408349
A=$231.2935767$ m2
∴ The Surface Area of Pyramid length 7 yd , width 40 ft and height 7 m is 231.2935767 m2
or
Unit Conversion of 7 yd = 21.0 ft
7 Yards is 21.0 foots
To convert Yards to Foot
we know that, 1 Yards = 3 Feet
To convert Yards to Foot, multiply the yard value by 3.
Result in Feet: 7 yd x 3 × ft/yd
Cancel The Comman factor of yd
Result in Feet: (7 x 3 ft)
Multiply 7 into 3
Result in Feet: 21.0 feets
∴ 7 Yards = 21.0 foots
Unit Conversion of 7 m = 22.96588 ft
7 Meters is 22.96588 foot
To convert Meters to Foot
we know that, 1 Meter = 3.28084 Foot
To convert Meter to Foot, multiply the meter value by 3.28084.
Result in Foot: 7 m × 3.28084 × ft/m
Cancel The Comman factor of m
Result in Foot: (7 x 3.28084 ft)
Multiply 7 into 3.28084
Result in Foot: 22.96588 foot
∴ 7 Meters = 22.96588 foot
A=($21.0 \cdot40+21.0$$\sqrt{(\frac{40}{2})^2+(22.96588)^2}$$+40$$\sqrt{(\frac{21.0}{2})^2+(22.96588)^2}$) ft
Simplify each term.
Multiply 21.0 ft by 40 ft
A = $840.0+21.0$$\sqrt{(\frac{40}{2})^2+(22.96588)^2}$$+40$$\sqrt{(\frac{21.0}{2})^2+(22.96588)^2}$
Square root of $\sqrt{(\frac{40}{2})^2+(7)^2}$ is 30.4537624
Put The values in Area Formula:
A= $840.0+ 21.0 \cdot 30.4537624+40$$\sqrt{(\frac{21.0}{2})^2+(22.96588)^2}$
Square Root of $\sqrt{(\frac{21.0}{2})^2+(22.96588)^2}$ is 25.2523592
Put The values in Area Formula:
A = 840.0 + (21.0 x 30.4537624) + (40 x 25.2523592)
Multiply 21.0 and 30.4537624
A = 840.0 + 639.5290104 +(40 x 25.2523592)
Multiply 40 and 25.2523592
A= 840.0 + 639.5290104 + 1010.0943672
Add 840.0 and 639.5290104
A = 1479.5290104 + 1010.0943672
A= 2489.6233776 ft2
∴ The Surface Area of Pyramid length 7 yd , width 40 ft and height 7 m is 2489.6233776 ft2